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Intel Short Vector Math Library (SVML) based intrinsics in native x86 assembly provide optimized implementation for Vector API transcendental and trigonometric methods. These methods are built into a separate library instead of being part of libjvm.so or jvm.dll. The following changes are made: The source for these methods is placed in the jdk.incubator.vector module under src/jdk.incubator.vector/linux/native/libsvml and src/jdk.incubator.vector/windows/native/libsvml. The assembly source files are named as “*.S” and include files are named as “*.S.inc”. The corresponding build script is placed at make/modules/jdk.incubator.vector/Lib.gmk. Changes are made to build system to support dependency tracking for assembly files with includes. The built native libraries (libsvml.so/svml.dll) are placed in bin directory of JDK on Windows and lib directory of JDK on Linux. The C2 JIT uses the dll_load and dll_lookup to get the addresses of optimized methods from this library. Build system changes and module library build scripts are contributed by Magnus (magnus.ihse.bursie@oracle.com). This work is part of second round of incubation of the Vector API. JEP: https://bugs.openjdk.java.net/browse/JDK-8261663 Performance: Micro benchmark Base Optimized Unit Gain(Optimized/Base) Double128Vector.ACOS 45.91 87.34 ops/ms 1.90 Double128Vector.ASIN 45.06 92.36 ops/ms 2.05 Double128Vector.ATAN 19.92 118.36 ops/ms 5.94 Double128Vector.ATAN2 15.24 88.17 ops/ms 5.79 Double128Vector.CBRT 45.77 208.36 ops/ms 4.55 Double128Vector.COS 49.94 245.89 ops/ms 4.92 Double128Vector.COSH 26.91 126.00 ops/ms 4.68 Double128Vector.EXP 71.64 379.65 ops/ms 5.30 Double128Vector.EXPM1 35.95 150.37 ops/ms 4.18 Double128Vector.HYPOT 50.67 174.10 ops/ms 3.44 Double128Vector.LOG 61.95 279.84 ops/ms 4.52 Double128Vector.LOG10 59.34 239.05 ops/ms 4.03 Double128Vector.LOG1P 18.56 200.32 ops/ms 10.79 Double128Vector.SIN 49.36 240.79 ops/ms 4.88 Double128Vector.SINH 26.59 103.75 ops/ms 3.90 Double128Vector.TAN 41.05 152.39 ops/ms 3.71 Double128Vector.TANH 45.29 169.53 ops/ms 3.74 Double256Vector.ACOS 54.21 106.39 ops/ms 1.96 Double256Vector.ASIN 53.60 107.99 ops/ms 2.01 Double256Vector.ATAN 21.53 189.11 ops/ms 8.78 Double256Vector.ATAN2 16.67 140.76 ops/ms 8.44 Double256Vector.CBRT 56.45 397.13 ops/ms 7.04 Double256Vector.COS 58.26 389.77 ops/ms 6.69 Double256Vector.COSH 29.44 151.11 ops/ms 5.13 Double256Vector.EXP 86.67 564.68 ops/ms 6.52 Double256Vector.EXPM1 41.96 201.28 ops/ms 4.80 Double256Vector.HYPOT 66.18 305.74 ops/ms 4.62 Double256Vector.LOG 71.52 394.90 ops/ms 5.52 Double256Vector.LOG10 65.43 362.32 ops/ms 5.54 Double256Vector.LOG1P 19.99 300.88 ops/ms 15.05 Double256Vector.SIN 57.06 380.98 ops/ms 6.68 Double256Vector.SINH 29.40 117.37 ops/ms 3.99 Double256Vector.TAN 44.90 279.90 ops/ms 6.23 Double256Vector.TANH 54.08 274.71 ops/ms 5.08 Double512Vector.ACOS 55.65 687.54 ops/ms 12.35 Double512Vector.ASIN 57.31 777.72 ops/ms 13.57 Double512Vector.ATAN 21.42 729.21 ops/ms 34.04 Double512Vector.ATAN2 16.37 414.33 ops/ms 25.32 Double512Vector.CBRT 56.78 834.38 ops/ms 14.69 Double512Vector.COS 59.88 837.04 ops/ms 13.98 Double512Vector.COSH 30.34 172.76 ops/ms 5.70 Double512Vector.EXP 99.66 1608.12 ops/ms 16.14 Double512Vector.EXPM1 43.39 318.61 ops/ms 7.34 Double512Vector.HYPOT 73.87 1502.72 ops/ms 20.34 Double512Vector.LOG 74.84 996.00 ops/ms 13.31 Double512Vector.LOG10 71.12 1046.52 ops/ms 14.72 Double512Vector.LOG1P 19.75 776.87 ops/ms 39.34 Double512Vector.POW 37.42 384.13 ops/ms 10.26 Double512Vector.SIN 59.74 728.45 ops/ms 12.19 Double512Vector.SINH 29.47 143.38 ops/ms 4.87 Double512Vector.TAN 46.20 587.21 ops/ms 12.71 Double512Vector.TANH 57.36 495.42 ops/ms 8.64 Double64Vector.ACOS 24.04 73.67 ops/ms 3.06 Double64Vector.ASIN 23.78 75.11 ops/ms 3.16 Double64Vector.ATAN 14.14 62.81 ops/ms 4.44 Double64Vector.ATAN2 10.38 44.43 ops/ms 4.28 Double64Vector.CBRT 16.47 107.50 ops/ms 6.53 Double64Vector.COS 23.42 152.01 ops/ms 6.49 Double64Vector.COSH 17.34 113.34 ops/ms 6.54 Double64Vector.EXP 27.08 203.53 ops/ms 7.52 Double64Vector.EXPM1 18.77 96.73 ops/ms 5.15 Double64Vector.HYPOT 18.54 103.62 ops/ms 5.59 Double64Vector.LOG 26.75 142.63 ops/ms 5.33 Double64Vector.LOG10 25.85 139.71 ops/ms 5.40 Double64Vector.LOG1P 13.26 97.94 ops/ms 7.38 Double64Vector.SIN 23.28 146.91 ops/ms 6.31 Double64Vector.SINH 17.62 88.59 ops/ms 5.03 Double64Vector.TAN 21.00 86.43 ops/ms 4.12 Double64Vector.TANH 23.75 111.35 ops/ms 4.69 Float128Vector.ACOS 57.52 110.65 ops/ms 1.92 Float128Vector.ASIN 57.15 117.95 ops/ms 2.06 Float128Vector.ATAN 22.52 318.74 ops/ms 14.15 Float128Vector.ATAN2 17.06 246.07 ops/ms 14.42 Float128Vector.CBRT 29.72 443.74 ops/ms 14.93 Float128Vector.COS 42.82 803.02 ops/ms 18.75 Float128Vector.COSH 31.44 118.34 ops/ms 3.76 Float128Vector.EXP 72.43 855.33 ops/ms 11.81 Float128Vector.EXPM1 37.82 127.85 ops/ms 3.38 Float128Vector.HYPOT 53.20 591.68 ops/ms 11.12 Float128Vector.LOG 52.95 877.94 ops/ms 16.58 Float128Vector.LOG10 49.26 603.72 ops/ms 12.26 Float128Vector.LOG1P 20.89 430.59 ops/ms 20.61 Float128Vector.SIN 43.38 745.31 ops/ms 17.18 Float128Vector.SINH 31.11 112.91 ops/ms 3.63 Float128Vector.TAN 37.25 332.13 ops/ms 8.92 Float128Vector.TANH 57.63 453.77 ops/ms 7.87 Float256Vector.ACOS 65.23 123.73 ops/ms 1.90 Float256Vector.ASIN 63.41 132.86 ops/ms 2.10 Float256Vector.ATAN 23.51 649.02 ops/ms 27.61 Float256Vector.ATAN2 18.19 455.95 ops/ms 25.07 Float256Vector.CBRT 45.99 594.81 ops/ms 12.93 Float256Vector.COS 43.75 926.69 ops/ms 21.18 Float256Vector.COSH 33.52 130.46 ops/ms 3.89 Float256Vector.EXP 75.70 1366.72 ops/ms 18.05 Float256Vector.EXPM1 39.00 149.72 ops/ms 3.84 Float256Vector.HYPOT 52.91 1023.18 ops/ms 19.34 Float256Vector.LOG 53.31 1545.77 ops/ms 29.00 Float256Vector.LOG10 50.31 863.80 ops/ms 17.17 Float256Vector.LOG1P 21.51 616.59 ops/ms 28.66 Float256Vector.SIN 44.07 911.04 ops/ms 20.67 Float256Vector.SINH 33.16 122.50 ops/ms 3.69 Float256Vector.TAN 37.85 497.75 ops/ms 13.15 Float256Vector.TANH 64.27 537.20 ops/ms 8.36 Float512Vector.ACOS 67.33 1718.00 ops/ms 25.52 Float512Vector.ASIN 66.12 1780.85 ops/ms 26.93 Float512Vector.ATAN 22.63 1780.31 ops/ms 78.69 Float512Vector.ATAN2 17.52 1113.93 ops/ms 63.57 Float512Vector.CBRT 54.78 2087.58 ops/ms 38.11 Float512Vector.COS 40.92 1567.93 ops/ms 38.32 Float512Vector.COSH 33.42 138.36 ops/ms 4.14 Float512Vector.EXP 70.51 3835.97 ops/ms 54.41 Float512Vector.EXPM1 38.06 279.80 ops/ms 7.35 Float512Vector.HYPOT 50.99 3287.55 ops/ms 64.47 Float512Vector.LOG 49.61 3156.99 ops/ms 63.64 Float512Vector.LOG10 46.94 2489.16 ops/ms 53.02 Float512Vector.LOG1P 20.66 1689.86 ops/ms 81.81 Float512Vector.POW 32.73 1015.85 ops/ms 31.04 Float512Vector.SIN 41.17 1587.71 ops/ms 38.56 Float512Vector.SINH 33.05 129.39 ops/ms 3.91 Float512Vector.TAN 35.60 1336.11 ops/ms 37.53 Float512Vector.TANH 65.77 2295.28 ops/ms 34.90 Float64Vector.ACOS 48.41 89.34 ops/ms 1.85 Float64Vector.ASIN 47.30 95.72 ops/ms 2.02 Float64Vector.ATAN 20.62 49.45 ops/ms 2.40 Float64Vector.ATAN2 15.95 112.35 ops/ms 7.04 Float64Vector.CBRT 24.03 134.57 ops/ms 5.60 Float64Vector.COS 44.28 394.33 ops/ms 8.91 Float64Vector.COSH 28.35 95.27 ops/ms 3.36 Float64Vector.EXP 65.80 486.37 ops/ms 7.39 Float64Vector.EXPM1 34.61 85.99 ops/ms 2.48 Float64Vector.HYPOT 50.40 147.82 ops/ms 2.93 Float64Vector.LOG 51.93 163.25 ops/ms 3.14 Float64Vector.LOG10 49.53 147.98 ops/ms 2.99 Float64Vector.LOG1P 19.20 206.81 ops/ms 10.77 Float64Vector.SIN 44.41 382.09 ops/ms 8.60 Float64Vector.SINH 28.20 90.68 ops/ms 3.22 Float64Vector.TAN 36.29 160.89 ops/ms 4.43 Float64Vector.TANH 47.65 214.04 ops/ms 4.49
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